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3 years ago

Find the m < t rounded to the nearest degree

Mathematics

1 answer:

serg [7]3 years ago

5 0

Answer:

28° (Answer A)

Step-by-step explanation:

Note that tan t = 8/15 = 0.533

Applying the inverse tangent function, we get

t = arctan 0.533 = 0.4900 radian

Mult. this by the radian-degree conversion factor results in: 28.072°

and when rounded off to the nearest degree, the measure of angle T is 28° (Answer A)

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What is Yasmeen's annual salary if her salary per fortnight is $1610?<br><br><br><br>

Oksi-84 [34.3K]

Answer:

$41,860.

Step-by-step explanation:

Weekly salary = 1610 / 2 = $805.

There are 52 weeks in a year so her annual salary

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3 years ago

Can someone please help me

Misha Larkins [42]

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3 years ago

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A bridge in the shape of an arch connects two cities separated by a river. The two ends of the bridge are located at (–7, –13) a

sdas [7]

Answer:

$y=-\dfrac{13}{49}x^2$

Step-by-step explanation:

The shape of an arch corresponds to a parabola.

the general equation for a parabola is:

$y=ax^2+bx+c$

we're given three coordinates: (-7,-13),(7,-13) and (0,0)

so we can plug these values in the general equation to make 3 separate equations:

(x,y) = (-7,-13)

$-13=a(-7)^2+b(-7)+c$

$49a-7b+c=-13$

(x,y) = (7,-13)

$-13=a(7)^2+b(7)+c$

$49a+7b+c=-13$

(x,y) = (0,0)

$0=a(0)^2+b(7)+c$

$c=0$

so we have three equations. and we can solve them simultaneously to find the values of a,b, and c.

we've already found c = 0, let's use substitute it to other equations.

$49a-7b+c=-13\quad\Rightarrow\quad49a-7b=-13$

$49a+7b+c=-13\quad\Rightarrow\quad49a+7b=-13$

we can solve these two equation using the elimination method, by simply adding the two equations

$\quad\quad49a-7b=-13\\+\quad49a+7b=-13$

------------------------------

$\quad\quad 98a=-26$

$\quad\quad a=-\dfrac{13}{49}$

Now we can plug this value of a in any of the two equations.

$49a-7b=-13$

$49\left(-\dfrac{13}{49}\right)-7b=-13$

$-13-7b=-13$

$-7b=0$

$b=0$

We have the values of a,b, and c. We can plug them in the general equation to find the equation of the arch.

$y=\left(-\dfrac{13}{49}\right)x^2+0x+0$

$y=-\dfrac{13}{49}x^2$

$49y=-13x^2$

This our equation of the arch!

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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